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Groups with finitely many Busemann points

  • Liran Ron-George

    Ben-Gurion University of the Negev, Beer Sheva, Israel

  • Ariel Yadin

    Ben-Gurion University of the Negev, Beer Sheva, Israel
Groups with finitely many Busemann points cover

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Abstract

We show that an infinite finitely generated group is virtually if and only if every Cayley graph of contains only finitely many Busemann points in its horofunction boundary. This complements a previous result of the second named author and M. Tointon.

Cite this article

Liran Ron-George, Ariel Yadin, Groups with finitely many Busemann points. Groups Geom. Dyn. (2024), published online first

DOI 10.4171/GGD/824